Question

A married couple decides that they will continue to have children until they have 3 boys. It is assumed that having a boy or a girl is equally likely. (a) What is the probability that the couple has 5 children until they have 3 boys? (b) How many children does this couple expect to have until they have 3 boys?

Answer #1

A married couple decides that they will continue to have
children until they have 3 boys. It is assumed that having a boy or
a girl is equally likely. (a) What is the probability that the
couple has 5 children until they have 3 boys? (b) How many children
does this couple expect to have until they have 3 boys?
please show your work

1. If a couple plans to have 4 children, what is the probability
that there will be at least one girl? Assume boys and girls are
equally likely.
2. Find the probability of a couple having a baby boy when their
4th child is born, given that the first three children were all
boys. Assume boys and girls are equally likely.

A
young couple decides to keep having children until they have a
girl. Assuming a boy or a girl are equi-probable possibilities in
the birth of every child and the gender of every child is
independent of the previous, what would be the expected number of
children the couple would have when the first girl is born? What is
the probability that the fourth child would be the first
girl?

A couple decides to have 5 children. Find the probability of the
couple having a baby boy when their fifth child is born
given that the first four children were all boys.

Boys and Girls: Suppose a couple plans to have
two children and the probability of having a girl is 0.50.
(a) What is the sample space for the gender outcomes?
{bb, bg, gb, gg}{bb, bg, gg} {bb,
gg}{b,g}
(b) What is the probability that the couple has one boy and one
girl?
1
2
3
4
1
4
1
3
(c) What is the probability that the couple will have at least one
girl?
1
4
1
2
3...

A couple plans to have children until they get a girl, but they
agree they will not have more than three children, even if all are
boys. Assume that the probability of having a girl is
0.50.5.
Let X be a random variable indicating how many children the
couple will have. Find the standard deviation of the random
variable X.
x
11
22
33
P(X=x)
0.5000.500
0.2500.250
0.250

One-quarter of the married couples in a distant society have no
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husband will have k male offspring?
b) What is the probability that the husbands' male line of
descent will cease to exist by the nth...

Assume that girls and boys are equally likely and the event
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woman walking on the street with a girl. She tells you that she has
three children and that the girl with her is her daughter. a) What
is the probability that she has two boys? Incorrect: Your answer is
incorrect. (enter a fraction) b) What...

Find the probability that when a couple has five children, at
least one of them is a boy. (Assume that boys and girls are
equally likely.

Family planning. A couple wants to have three
children. Assume that the probabilities of a newborn being male or
being female are the same and that the gender of one child does not
influence the gender of another child.
There are eight possible arrangements of girls and boys. What
is the sample space for having three children (gender of the first,
second, and third child)? All eight arrangements are
(approximately) equally likely.
The future parents are wondering how many boys...

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